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16 April 2024
 
  » arxiv » physics/0002005

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Bethe logarithms for the 1 singlet S, 2 singlet S and 2 triplet S states of helium and helium-like ions
Jonathan D. Baker ; Robert C. Forrey ; Malgorzata Jeziorska ; John D. Morgan III ;
Date 3 Feb 2000
Subject Atomic Physics | physics.atom-ph
AffiliationNIST), Robert C. Forrey (Penn State University), Malgorzata Jeziorska (University of Warsaw) and John D. Morgan III (University of Delaware
AbstractWe have computed the Bethe logarithms for the 1 singlet S, 2 singlet S and 2 triplet S states of the helium atom to about seven figure-accuracy using a generalization of a method first developed by Charles Schwartz. We have also calculated the Bethe logarithms for the helium-like ions of Li, Be, O and S for all three states to study the 1/Z behavior of the results. The Bethe logarithm of H minus was also calculated with somewhat less accuracy. The use of our Bethe logarithms for the excited states of neutral helium, instead of those from Goldman and Drake’s first-order 1/Z-expansion, reduces by several orders of magnitude the discrepancies between the theoretically calculated and experimentally measured ionization potentials of these states.
Source arXiv, physics/0002005
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